Compactifications of the Klebanov-Witten CFT and new AdS
                            3 backgrounds

Bea, Yago; Edelstein, José D.; Ίτσιος, Γεώργιος; Kooner, Karta Singh; Núñez, Carlos; Schofield, Daniel; Sierra-Garcıa, J. Anıbal

doi:10.1007/jhep05(2015)062

Cited by 62 publications

(77 citation statements)

References 113 publications

(176 reference statements)

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“…This enforces the picture advocated above -and already advanced in [40] -where there is one NS-five brane every time we cross the positions ρ = π, 2π, 3π, 4π . .…”

Section: Jhep11(2015)212supporting

confidence: 78%

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Holographic flows in non-Abelian T-dual geometries

Macpherson

Núñez

Thompson

et al. 2015

J. High Energ. Phys.

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Abstract:We use non-Abelian T-duality to construct new N = 1 solutions of type IIA supergravity (and their M-theory lifts) that interpolate between AdS 5 geometries. We initiate a study of the holographic interpretation of these backgrounds as RG flows between conformal fixed points. Along the way we give an elegant formulation of non-Abelian Tduality when acting on a wide class of backgrounds, including those corresponding to such flows, in terms of their SU(2) structure.

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“…This enforces the picture advocated above -and already advanced in [40] -where there is one NS-five brane every time we cross the positions ρ = π, 2π, 3π, 4π . .…”

Section: Jhep11(2015)212supporting

confidence: 78%

“…The proposal in [40] is that the seemingly non-compact coordinate ρ -or η, after the change of variable in eq. (3.3) -should indeed be allowed to vary in [0, ∞].…”

Section: Jhep11(2015)212mentioning

confidence: 99%

Holographic flows in non-Abelian T-dual geometries

Macpherson

Núñez

Thompson

et al. 2015

J. High Energ. Phys.

Self Cite

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“…In turn, the new AdS 3 backgrounds that we construct in this paper may provide the holographic duals of new 2D large N = (0, 4) field theories arising from D-brane intersections. Other AdS 3 backgrounds dual to N = (0, 2) 2D field theories haven been constructed recently in [28] (see also [47]) by compactifying on a 2D manifold the Klebanov-Witten background, combined with Abelian and non-Abelian T-dualities.…”

Section: Jhep08(2015)121mentioning

confidence: 99%

“…We thank D. Tsimpis for raising this loop-hole. 6 See also [25][26][27][28] for further AdS solutions and [29][30][31][32][33][34][35][36] for a more varied sample of the NAT duality literature. 7 Supersymmetry imposes severe constraints to the existence of AdS6 solutions in ten and eleven dimensions [38,39].…”

Section: Jhep08(2015)121mentioning

confidence: 99%

“…Some works have tried to explore in more depth the CFT realization of AdS backgrounds generated through non-Abelian T-duality in different dimensions [25,45]- [28]. Its interplay with supersymmetry [53] and phenomenological properties of the dual CFTs, such as the type of branes generating the geometry, the behavior of universal quantities such as the free energy, or the entanglement entropy, the realization of baryon vertices, instantons, giant gravitons, are by now quite systematized (see [54]).…”

Section: Jhep08(2015)121mentioning

confidence: 99%

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New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Lozano

Macpherson

Montero

et al. 2015

J. High Energ. Phys.

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It is well known that Hopf-fibre T-duality and uplift takes the D1-D5 nearhorizon into a class of AdS 3 × S 2 geometries in 11D where the internal space is a CalabiYau three-fold. Moreover, supersymmetry dictates that Calabi-Yau is the only permissible SU(3)-structure manifold. Generalising this duality chain to non-Abelian isometries, a strong parallel exists, resulting in the first explicit example of a class of AdS 3 ×S 2 geometries with SU(2)-structure. Furthermore, the non-Abelian T-dual of AdS 3 ×S 3 ×S 3 ×S 1 results in a new supersymmetric AdS 3 × S 2 geometry, which falls outside of all known classifications. We explore the basic properties of the holographic duals associated to the new backgrounds. We compute the central charges and show that they are compatible with a large N = 4 superconformal algebra in the infra-red.

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Non‐abelian T‐duality of Pilch‐Warner background

Dimov

Mladenov

Rashkov

et al. 2016

Fortschritte der Physik

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In this work we obtain the non-abelian T-dual geometry of the well-known Pilch-Warner supergravity solution in its infrared point. We derive the dual metric and the NS two-form by gauging the isometry group of the initial theory and integrating out the introduced auxiliary gauge fields. Then we use the Fourier-Mukai transform from algebraic geometry to find the transformation rules of the R-R fields. The dual background preserves the N = 1 supersymmetry of the original one due to the fact that the Killing spinor does not depend on the directions on which the N-AT-D is performed. Finally, we consider two different pp-wave limits of the T-dual geometry by performing Penrose limits for two light-like geodesics. Fortschritte der Physik Progress of Physics H. Dimov et al.: Non-abelian T-duality of Pilch-Warner backgroundIn the above formulas the sum over all repeating indices is implied for a, b, c = 1, 2, 3.

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Compactifications of the Klebanov-Witten CFT and new AdS 3 backgrounds

Cited by 62 publications

References 113 publications

Holographic flows in non-Abelian T-dual geometries

Holographic flows in non-Abelian T-dual geometries

New AdS3 × S2 T-duals with N = 0 4 $$ \mathcal{N}=\left(0,4\right) $$ supersymmetry

Non‐abelian T‐duality of Pilch‐Warner background

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